Answer the following questions showing all work. Full credit will not be given t

Question

Answer the following questions showing all work. Full credit will not be given to answers without work shown. If you use Minitab Express include the appropriate output (copy + paste) along with an explanation. Output without explanation will not receive full credit. Round all answers to 3 decimal places. If you have any questions, post them to the course discussion board.

1. For each of the following scenarios, which of the following hypothesis tests is most appropriate: one sample proportion, one sample mean, two independent proportions, two independent means, or two paired (dependent) means? Explain why. [30 points]

A. Penn State’s College of Education wants to know if applicants to their M.Ed. programs and their M.S. programs differ in terms of whether or not they have work experience.

B. The manager of a retail store wants to know if the average age of customers in her store is greater than 35 years.

C. Penn State’s Department of Statistics wants to know if applicants to its major have SAT-Math scores that are higher than their SAT-Verbal scores. They take a simple random sample of 40 applicants and record each individual’s SAT-Math and SAT-Verbal scores.

D. Students at Penn State and Michigan State are arguing over which university’s students are faster. They take a random sample of 25 students from each university and time how long it takes them to run 400 meters.

E. We know that in the population of all Penn State World Campus students 18.6% have military experience. An instructor at Penn State Harrisburg wants to know if the proportion of students at Penn State Harrisburg is different from 18.6%. She takes a random sample of 100 Penn State Harrisburg students and records whether or not each student has military experience.

F. A pharmaceutical company wants to compare the LDL cholesterol levels of patients who have taken two different drugs (Drug A and Drug B). They randomly assign 30 patients to receive Drug A and 30 patients to receive Drug B. After taking 90 days they measure each patient’s LDL cholesterol level.  

Explanation / Answer

A) As M. Ed and M. S programs are independent for a student. So for the given scenario Two independent proportions test is to be used.

B) As the manager wants to test the average age, so One sample mean test is to be used.

C) Since two scores are to be compared with each other so Two independent means test is to be used. As the two scores are independent of each other.

D) As the time to run is calculated for both colleges and they rum independent of each other and we have to compare the two so Two independent means test is to be used.

E) one sample proportion is to be used as we need to test only one proportion that is the percentage of Penn state world campus students with military experience

F) two paired (dependent) means test is to be used as both drugs are given to same patients for the same problem

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